To accurately approximate sin.x and cos.x for inclusion in a mathematical library, we first restrict their domains. Given a real number x, divide by to obtain the relation |x] =Mz+s, where M is an integer and Isl a. Show that sinx=sgn(x)-(-1)-sins.

Q: Prove the identity. Work on one side only. cos(4x) = 1 – 8 sin² x + 8 sin²x

A:

Q: ove the identity. Show all steps: 1-coscos x + 1 1+coscos x = 2

A: We have to prove that the given inequality.

Q: Expand and simplify: sin(x+3)-cos(+ x) 6 COS X

A:

Q: Which of the following is not in the domain of tan(x)? Select all correct answers.

A: Given Select the values that are not in the domain of tan(x)

Q: Let x = 7 cos 0,0 <0 < T. Simplify the expression x 49-x²

A: Given that .The objective is to simplify the expression .

Q: (2sin x) -1 Cos

A: cos(2 sin-1x) Let sin-1x=u Taking sin  function on both sides x=sin u

Q: Evaluate the following: fx sin 3xdx

A:

Q: then A(-2u - 20) = -2 ---B 5 and Au 3 Au = 2 4

A:

Q: X - Find an algebraic expression for : sin(tan-1x– cos-1)

A: In the given question we have to find the algebraic expression for the relation sintan-1x-cos-1x2.…

Q: Evaluate the expression without using a calculator: (sin(π/3)cos(π/4)-sin(π/4)cos(π/3))2

A: Given- sinπ3·cosπ4-sinπ4·cosπ32 To find- The value of the above expression.